Follow these simple steps to create your incredible Peach Cobbler Cheesecake:

1. Preheat the Oven: Preheat your oven to 325°F (163°C).
2. Prepare the Crust: In a medium bowl, combine graham cracker crumbs, melted butter, and granulated sugar. Mix until well combined. Press the mixture firmly into the bottom of a 9-inch springform pan to form the crust.
3. Bake the Crust: Place the crust in the preheated oven and bake for 10 minutes. Remove and let cool while you prepare the filling.
4. Make the Cheesecake Filling: In a large mixing bowl, beat the softened cream cheese and granulated sugar until smooth and creamy. Add the vanilla extract, eggs, sour cream, and heavy cream. Mix until fully incorporated, but avoid overmixing.
5. Pour the Filling: Pour the cheesecake filling over the cooled crust in the springform pan. Smooth the top with a spatula.
6. Bake the Cheesecake: Bake in the oven for 45-50 minutes, or until the center is set but still slightly jiggly. Turn off the oven and leave the cheesecake inside for an additional hour to cool gradually.
7. Prepare the Peach Topping: In a medium saucepan, combine the sliced peaches, brown sugar, cinnamon, cornstarch, and lemon juice. Cook over medium heat until the mixture is bubbly and slightly thickened, about 5-7 minutes.
8. Cool the Cheesecake: After the cheesecake has cooled in the oven, remove it and let it cool to room temperature. Then, refrigerate for at least 2 hours, or overnight for best results.
9. Top with Peaches: Once the cheesecake is fully chilled, remove it from the springform pan. Spoon the peach topping evenly over the cheesecake.
10. Serve: Slice the cheesecake into wedges and enjoy!